Information on Result #1747910
Digital (33, 62, 1511)-net over F128, using net defined by OOA based on linear OOA(12862, 1511, F128, 36, 29) (dual of [(1511, 36), 54334, 30]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(12862, 6045, F128, 4, 29) (dual of [(6045, 4), 24118, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12862, 6045, F128, 2, 29) (dual of [(6045, 2), 12028, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12862, 8201, F128, 2, 29) (dual of [(8201, 2), 16340, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12862, 16402, F128, 29) (dual of [16402, 16340, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,11]) [i] based on
- linear OA(12857, 16385, F128, 29) (dual of [16385, 16328, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(12845, 16385, F128, 23) (dual of [16385, 16340, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(1285, 17, F128, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,128)), using
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- Reed–Solomon code RS(123,128) [i]
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- construction X applied to C([0,14]) ⊂ C([0,11]) [i] based on
- OOA 2-folding [i] based on linear OA(12862, 16402, F128, 29) (dual of [16402, 16340, 30]-code), using
- discarding factors / shortening the dual code based on linear OOA(12862, 8201, F128, 2, 29) (dual of [(8201, 2), 16340, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12862, 6045, F128, 2, 29) (dual of [(6045, 2), 12028, 30]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.